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Finding the Fourth Proportional to 70,127.10, 96,777.72 and 38,297.88

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Solution

The fourth proportional to 70,127.10, 96,777.72 and 38,297.88 is: 52,852.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,127.10 : 96,777.72 = 38,297.88 : x
  2. Step 2: Convert to fraction form
    70,127.10/96,777.72 = 38,297.88/x
  3. Step 3: Cross multiply
    70,127.10x = 96,777.72 × 38,297.88
  4. Step 4: Simplify right side
    70,127.10x = 3,706,381,507.23
  5. Step 5: Solve for x
    x = 3,706,381,507.23/70,127.10
  6. Step 6: Final answer
    x = 52,852.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.